Anders S. Sørensen,1 Ehud Altman,2 Michael Gullans,3 J. V. Porto,4 Mikhail D. Lukin,3 and Eugene Demler3 1QUANTOP, The Niels Bohr Institute, University of Copenhagen, DK-2100 Copenhagen Ø, Denmark 2Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot, IL-76100, Israel 3Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA 4Joint Quantum Institu...

We study the adiabatic time evolution of quantum resonances over time scales which are small compared to the lifetime of the resonances. We consider three typical examples of resonances: The first one is that of shape resonances corresponding, for example, to the state of a quantum-mechanical particle in a potential well whose shape changes over time scales small compared to the escape time of ...

The application of the hyperspherical adiabatic expansion to describe three-body scattering states suffers from the problem of very slow convergence. Contrary to what happens for bound states, a huge number of hyper-radial equations has to be solved, and even if done, the extraction of the scattering amplitude is problematic. In this Letter we show how to obtain accurate scattering phase shifts...

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We use the hyperspherical adiabatic expansion method to discuss the the two mechanisms of sequential and direct three-body decay. Both short-range and Coulomb interactions are included. Resonances are assumed initially populated by a process independent of the subsequent decay. The lowest adiabatic potentials describe the resonances rather accurately at distances smaller than the outer turning ...

We show how to apply the quantum adiabatic algorithm directly to the quantum computation of molecular properties. We describe a procedure to map electronic structure Hamiltonians to 2-body qubit Hamiltonians with a small set of physically realizable couplings. By combining the Bravyi-Kitaev construction to map fermions to qubits with perturbative gadgets to reduce the Hamiltonian to 2-body, we ...

Classical density functional theory (DFT) provides an exact variational framework for determining the equilibrium properties of inhomogeneous fluids. We report a generalization of DFT to treat the non-equilibrium dynamics of classical many-body systems subject to Brownian dynamics. Our approach is based upon a dynamical functional consisting of reversible free energy changes and irreversible po...

We compare the performances of the templates defined by three different types of approaches: traditional post-Newtonian templates ~Taylor approximants!, ‘‘resummed’’ post-Newtonian templates assuming the adiabatic approximation and stopping before the plunge (P approximants!, and further ‘‘resummed’’ postNewtonian templates going beyond the adiabatic approximation and incorporating the plunge w...

We compare the performances of the templates defined by three different types of approaches: traditional post-Newtonian templates (Taylor-approximants), “resummed” post-Newtonian templates assuming the adiabatic approximation and stopping before the plunge (P-approximants), and further “resummed” post-Newtonian templates going beyond the adiabatic approximation and incorporating the plunge with...

In the small mass ratio expansion and on equatorial plane, two-body problem for point particles in general relativity admits a quasi-circular inspiral motion followed by transition-to-plunge motion. We first derive equations governing Kerr background at adiabatic, post-adiabatic post-post-adiabatic orders slow-timescale terms of self-force we highlight structure higher subleading orders. parall...